An intensional fixed point theory over first order arithmetic
نویسندگان
چکیده
منابع مشابه
An intensional fixed point theory over first order arithmetic
The purpose of this article is to present a new theory IPA(σ) for fixed points over arithmetic which allows the building up of fixed points in a very nested and entangled way. But in spite of its great expressive power we can show that the proof-theoretic strength of our theory – which is intensional in a meaning to be described below – is characterized by the Feferman-Schütte ordinal Γ0. Our a...
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First-order modal logic is very much under current development, with many different semantics proposed. The use of rigid objects goes back to Saul Kripke. More recently several semantics based on counterparts have been examined, in a development that goes back to David Lewis. There is yet another line of research, using intensional objects, that traces back to Richard Montague. I have been invo...
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ژورنال
عنوان ژورنال: Annals of Pure and Applied Logic
سال: 2004
ISSN: 0168-0072
DOI: 10.1016/j.apal.2003.11.032